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Nonuniqueness for bounded measurable scalar conductivities in three dimensions

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OpenAI Mathopenai-math/Nonuniqueness-for-Bounded-Measurable-Scalar-Conductivities-in-Three-DimensionsSep 23, 2026math.APAI-generatedscore 0

We construct two distinct uniformly positive bounded measurable scalar conductivities on a ball in ℝ 3 with the same full Dirichlet-to-Neumann operator. Both conductivities equal one near the boundary. This gives nonuniqueness in the scalar Calderón problem at bounded measurable regularity.

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